Existence of asymptotically periodic solutions of partial functional differential equations with state-dependent delay

被引：3

作者：

Andrade, Filipe ^{[1
]}

Cuevas, Claudio ^{[2
]}

Henriquez, Hernan R. ^{[3
]}

机构：

[1] Univ Fed Rural Pernambuco, Dept Matemat, Recife, PE, Brazil

[2] Univ Fed Pernambuco, Dept Matemat, Recife, PE, Brazil

[3] Univ Santiago USACH, Dept Matemat, Santiago, Chile

来源：

APPLICABLE ANALYSIS | 2021年 / 100卷 / 14期

关键词：

Retarded functional differential equations; abstract functional differential equations; equations with state-dependent delay; mild solutions; asymptotically periodic solutions;

D O I：

10.1080/00036811.2019.1704737

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we are concerned with systems determined by partial differential equations with infinite and state-dependent delay. To study the system, we model the equation as an abstract retarded functional differential equations with infinite and state-dependent delay. We establish the existence of mild solutions, and the existence of S-asymptotically periodic solutions and asymptotically periodic solutions using local Lipschitz conditions on the involved functions. We apply our results to study the existence of asymptotically periodic solutions of a partial differential equation with infinite and state-dependent delay.

引用

页码：2965 / 2988

页数：24

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